Prouhet-Tarry-Escott problem

English

Etymology

Named after Eugène Prouhet, who studied it in the early 1850s, and Gaston Tarry and Escott, who studied it in the early 1910s.

Proper noun

1. Template:Lb The problem of finding two disjoint sets A and B of n integers each, such that $\sum _{a\in A}{a}^i=\sum _{b\in B}{b}^i$ for each integer i from 1 to a given k.